Toward the structure of fibered fundamental groups of projective varieties

DOI10.5802/jep.52zbMath1400.14078arXiv1510.07692OpenAlexW2964084868MaRDI QIDQ2011993

Donu Arapura

Publication date: 27 July 2017

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.07692

zbMATH Keywords

Mumford-Tate groupKähler group

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Coverings of curves, fundamental group (14H30) Homotopy theory and fundamental groups in algebraic geometry (14F35)

Related Items

Some topological properties of surface bundles, Complete families of indecomposable non-simple abelian varieties, Kodaira fibrations and beyond: methods for moduli theory, Monodromy of Kodaira fibrations of genus 3, On Kodaira fibrations with invariant cohomology, Arithmeticity of the monodromy of some Kodaira fibrations, A Note on the Fundamental Group of Kodaira Fibrations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic linearity of the mapping class group and a homological version of the Nielsen-Thurston classification
• Prym representations of mapping class groups
• Arithmetic quotients of the mapping class group
• Variation of Hodge structure: The singularities of the period mapping
• Compactification of arithmetic quotients of bounded symmetric domains
• A note of Shimura's paper: Discontinuous groups and Abelian varieties
• A certain type of irregular algebraic surfaces
• Construction of class fields and zeta functions of algebraic curves
• Cohomology theory in abstract groups. II
• The Hodge conjecture for general Prym varieties
• Homomorphisms between Kaehler groups
• Examples of Fundamental Groups of Compact Kähler Manifolds
• Differentiable and deformation type of algebraic surfaces, real and symplectic structures
• Generalized Cayley Transformations of Bounded Symmetric Domains
• Holomorphic Imbeddings of Symmetric Domains into a Siegel Space